n!!!! - 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
* 441: | \[441!!!!-1\] | 22 × 22278563 × 1619050669 × 11581759706976259201<20> × [57302968165492037969706257825245742749508825962222957996366383905414088547241381962007297808898115592420361393943122459390192983537348776284881793930216030477541193278495486860668437751519138004551191746336123<209>] |